English

Isomorphic and Nonisomorphic, Isospectral Circulant Graphs

Combinatorics 2009-04-14 v1

Abstract

New criteria for which Cayley graphs of cyclic groups of any order can be completely determined--up to isomorphism--by the eigenvalues of their adjacency matrices is presented. Secondly, a new construction for pairs of nonisomorphic Cayley graphs of cyclic groups with the same list of eigenvalues of their adjacency matrices will be presented.

Keywords

Cite

@article{arxiv.0904.1968,
  title  = {Isomorphic and Nonisomorphic, Isospectral Circulant Graphs},
  author = {Julia Brown},
  journal= {arXiv preprint arXiv:0904.1968},
  year   = {2009}
}

Comments

27 pages, 1 figure

R2 v1 2026-06-21T12:50:50.058Z